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Existence and global stability of positive periodic solutions of a discrete delay competition system. (English) Zbl 1026.92033
Summary: The existence and global stability of positive periodic solutions of a discrete competition model is studied. The model incorporates time delays and allows for a fluctuating environment. By means of some standard procedures of the topological degree method and the construction of a suitable Lyapunov function, sufficient conditions are obtained to ensure the existence and the global stability of positive periodic solutions of the above systems.

MSC:
92D25 Population dynamics (general)
34K13 Periodic solutions to functional-differential equations
39A12 Discrete version of topics in analysis
39A11 Stability of difference equations (MSC2000)
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